Answer:
The missing value is 6
Step-by-step explanation:
We know that there are 5 values but only 4 are given:
⇒ The given values are: 8, 14, 7, and 13
⇒ Let the fifth value be "x"
We also know the mean which is 9.6
Solve for the missing value:
⇒ 9.6 (mean) = [tex]\frac{8 + 14 + 7 + 13 + x}{5 numbers}[/tex]
multiply 5 on both sides
⇒ 9.6 x 5 = [tex]\frac{8 + 14 + 7 + 13 + x}{5 numbers}[/tex] x 5
⇒ 48 = 8 + 14 + 7 + 13 + x
add the numbers:
⇒ 8 + 14 + 7 + 13 + x = 42 + x
the equation becomes:
⇒ 48 = 42 + x
Now, subtract 42 on both sides:
⇒ 48 - 42 = 42 - 42 + x
⇒ 6 = x
